10 - What are Composite Functions? (Part 1) - Evaluating Composition of Functions & Examples

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In this lesson, you will learn what a composite function is in math. We will discuss the definition of a composite function being two functions chained or nested inside of one another. We must then evaluate the composite function by evaluating each individual function in sequence, one after the other. In general, the order of evaluating the functions affects the answer so that gof g(f(x)) and fog (f(g(x)) yield different answers. The major exception to this is in the case that f(x) and g(x) are inverse functions of one another. In that case the composite functions give the same answer no matter the order that f(x) and g(x) are evaluated.

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Unable to find compososite functions part 2 😪

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[@jackflash8756]

But g(x) = sq root x is not a function because it fails the vertical line test. Is one allowed to have a composite function if one of them fails the vertical line test?

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So, it doesn't have any fixed arrangement/order of writing the function?
What should matter is the order of solving it?

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[@xVyersx]

To this day he is still evaluating composition of functions & examples part 2. :( I need more help with these.

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[@aphro--ven]

Hi. Can a composite function be equal?

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Can you plz discuss the composition of two functions when one of them is piece-wise-define ftn.?

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Where is 4 came from?

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12:36

[@peterbradshaw8018]

In general composite functions are not commutative...

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what happen to the sound?